Science:Math Exam Resources/Courses/MATH102/December 2012/Question C 04 (c)/Statement

Dead leaves accumulate on the ground in a forest at a rate of 5 grams per square centimeter per year. At the same time, these leaves decompose at a continuous rate of 50 percent per year.

(c) Sketch the graph of the solution to your differential equation showing that the mass of dead leaves tends toward a steady state assuming that initially (t = 0) there are no leaves on the ground.